Basic Math Examples

$- {((- 2) \cdot 2)}^{3 - 1 - 4^{2}}$

Step 1

Multiply $- 2$ by $2$ .

$- {(- 4)}^{3 - 1 - 4^{2}}$

Step 2

Simplify each term.

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Step 2.1

Raise $4$ to the power of $2$ .

$- {(- 4)}^{3 - 1 - 1 \cdot 16}$

Step 2.2

Multiply $- 1$ by $16$ .

$- {(- 4)}^{3 - 1 - 16}$

Step 3

Simplify by subtracting numbers.

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Step 3.1

Subtract $1$ from $3$ .

$- {(- 4)}^{2 - 16}$

Step 3.2

Subtract $16$ from $2$ .

$- {(- 4)}^{- 14}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$- \frac{1}{{(- 4)}^{14}}$

Step 5

Raise $- 4$ to the power of $14$ .

$- \frac{1}{268435456}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{268435456}$

Decimal Form:

$- 3.72529029 \cdot 10^{- 9}$